During an exhibition game in 1982, as a member of the Triple-A Salt Lake City Gulls, Jamie drew a walk to win the game against the Major League Seattle Mariners.[1]

Jamie was placed on the Mariners' 40-man roster on November 6, 1982 as a part of what the Mariners' General Manager Dan O'Brien rebuilding plan.[2]

He made his Major League debut on May 1, 1983 at the Kingdome against the Baltimore Orioles. He went one-for-four in the game.[3] In his only big league season, Allen hit .223 with four home runs, ten doubles and 21 RBIs in 86 games.